In this work, we employ the two-fluid model under large eddy simulations (LES) framework to investigate liquid–liquid dispersions in stirred tanks. The population balance equation was solved by one primary and secondary particle method, which proven as identical one-node quadrature method of moments. First, Aiyer's break-age kernel investigated for its capability context chemical tank applicati...

Mathematical models of particulate processes usually include a population balance equation to describe the dynamics of the size distribution. The structure of the population balance equation is the same in all models of particulate processes and the specific physical and chemical interaction of the particles is described by individual kernels. Usually first principles modeling is used to develo...

In this paper we attempt to highlight the main challenges of the implementation of the presented combined Eulerian multifluid-Population balance model for bubbly flows as applied to simulate the behavior of vertical bubble column reactor. The 1–D steady-state model equations for the bubble column with water as the liquid continuous phase and air bubbles of diameter  as a dispersed phase, const...

The particle growth term renders hyperbolic the dynamic population balance equation. Problems associated with the numerical solution of hyperbolic partial differential equations with stationary grid methods are well known. Moreover in the common case of combined molecular particle growth and coagulation. the convolution integral of the coagulation terms makes the moving grid methods computation...

An active antenna for transmitter application in S frequency band is designed and analyzed using harmonic balance technique which is based on the nonlinear model of active devices. In this active antenna, the amplifier is integrated with the radiator which is a rectangular patch antenna. This patch antenna is analyzed employing full-wave momentum method. By applying nonlinear model of transisto...

in this work, we successfully construct the new exact traveling wave solutions ofthe generalized sinh–gordon equation by new application of the homogeneousbalance method. the idea introduced in this paper can be applied to othernonlinear evolution equations.